Power purifier on class D?


I have an SMSL A8 amplifier.
It uses a ICE amplifier board and has a built in DAC using a AK4490.
I was wondering if on a class, it was woth putting a power purifier (or EMI filter) on the power cord.
My thaught is that the amplifier board may have it's own filters bur I don't know about rhe DAC. Even thought, are the filters on the apmlifier board enought?
Is most of the noise generated after the power?
In 2 words, will I benefit of putting a filter on the power cord?